WASHINGTON — President Obama is trying to bring Israel back into the fold, inviting a delegation from the Jewish state to discuss Iran — after keeping the Israelis in the dark for months on his talks with Tehran.

Israeli national security adviser Yossi Cohen will head the high-level group arriving next week, signaling an attempt by Obama to placate Israeli President Benjamin Netanyahu, who publicly denounced the Iran pact as an “historic mistake” immediately after it was announced.

“This accord must bring about one outcome: the dismantling of Iran’s military nuclear capability,” Netanyahu declared Monday, maintaining the pressure on the White House.

The Israeli leader gave Obama a piece of his mind when the president called Sunday for a briefing, according to one official.

“The prime minister made it clear to the most powerful man on earth that if he intends to stay the most powerful man on earth, it’s important to make a change in American policy because the practical result of his current policy is liable to lead him to the same failure that the Americans absorbed in North Korea and Pakistan, and Iran could be next in line,” said Tzachi Hanegbi, a member of the Israeli Knesset.

Rep. Eliot Engel (D-Bronx) told The Post, “I hope this is more than just soothing ruffled feathers. I hope that we seriously listen to the Israelis and listen to what their fears are.”

The Israelis have complained about being kept out of the loop during secret talks between the United States and Iran, which paved the way for a deal that includes six other nations.

Netanyahu and many pro-Israel members of Congress have slammed the agreement for allowing Iran to maintain much of its nuclear program while receiving $7 billion in relief with an easing of sanctions.

Ron Dermer, Israel’s ambassador to the United States, told a bipartisan group of about 30 US lawmakers last week that his country intended to partner with America to ensure a final agreement isn’t slanted in Iran’s favor.

“He said, ‘Listen, we agree it’s important that we should increase sanctions. But it’s very important that the US and Israel continue to work together throughout the six months [of talks] to make sure that Iran doesn’t break out towards a nuclear weapon,’ ” said a House Democratic aide who attended the briefing.